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14.13 LAB: Matrix multiplication (2D arrays) A matrix is a rectangle of numbers in rows and columns. A 1xN matrix has one row and N columns. An NxN matrix has N rows and N columns. Multiplying a 1xN matrix A and an NxN matrix B produces a 1xN matrix C. To determine the Nth element of C multiply each element of A by each element of the Nth column of B and sum the results. Helpful information can be found at matrix multiplication. Write a program that reads a 1xN matrix A and an NxN matrix B from input and outputs the 1xN matrix product, C. The first integer input is N, followed by one row of N integers for matrix A and then N rows of N integers for matrix B. N can be of any size >= 2. For coding simplicity, follow each output integer by a space, even the last one. The output ends with a newline. Ex If the input is: 2 23 12 34 A contains 2 and 3, the first row of B contains 1 and 2, and the second row of B contains 3 and 4. The first element of C is (2* 1) + (3*3), and the second element of C is (2*2)+(3*4). The program output is: 11 16 Note: Store matrices A and C into one-dimensional arrays and matrix B into a two-dimensional array. 6257118:2790725 සංශියනුයි. LAB ACTIVITY 14.13.1: LAB: Matrix multiplication (2D arrays) 1 #include 2 using namespace std; 3 main.cpp 0/10 Load default template.....

14.13 LAB: Matrix multiplication (2D arrays) A matrix is a rectangle of numbers in rows and columns. A 1xN matrix has one row and N columns. An NxN matrix has N rows and N columns. Multiplying a 1xN matrix A and an NxN matrix B produces a 1xN matrix C. To determine the Nth element of C multiply each element of A by each element of the Nth column of B and sum the results. Helpful information can be found at matrix multiplication. Write a program that reads a 1xN matrix A and an NxN matrix B from input and outputs the 1xN matrix product, C. The first integer input is N, followed by one row of N integers for matrix A and then N rows of N integers for matrix B. N can be of any size >= 2. For coding simplicity, follow each output integer by a space, even the last one. The output ends with a newline. Ex If the input is: 2 23 12 34 A contains 2 and 3, the first row of B contains 1 and 2, and the second row of B contains 3 and 4. The first element of C is (2* 1) + (3*3), and the second element of C is (2*2)+(3*4). The program output is: 11 16 Note: Store matrices A and C into one-dimensional arrays and matrix B into a two-dimensional array. 6257118:2790725 සංශියනුයි. LAB ACTIVITY 14.13.1: LAB: Matrix multiplication (2D arrays) 1 #include 2 using namespace std; 3 main.cpp 0/10 Load default template.....

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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**14.13 LAB: Matrix multiplication (2D arrays)** A matrix is a rectangle of numbers in rows and columns. A 1xN matrix has one row and N columns. An N×N matrix has N rows and N columns. Multiplying a 1×N matrix A and an N×N matrix B produces a 1×N matrix C. To determine the Nth element of C, multiply each element of A by each element of the Nth column of B and sum the results. Helpful information can be found at matrix multiplication. Write a program that reads a 1×N matrix A and an N×N matrix B from input and outputs the 1×N matrix product, C. The first integer input is N, followed by one row of N integers for matrix A and then N rows of N integers for matrix B. N can be of any size >= 2. For coding simplicity, follow each output integer by a space, even the last one. The output ends with a newline. **Ex: If the input is:** ``` 2 2 3 1 2 3 4 ``` A contains 2 and 3, the first row of B contains 1 and 2, and the second row of B contains 3 and 4. The first element of C is (2 * 1) + (3 * 3), and the second element of C is (2 * 2) + (3 * 4). The program output is: ``` 11 16 ``` **Note:** Store matrices A and C into one-dimensional arrays and matrix B into a two-dimensional array. **Code:** ```cpp #include <iostream> using namespace std; int main() { int n; // Code continues ```
Transcribed Image Text:**14.13 LAB: Matrix multiplication (2D arrays)** A matrix is a rectangle of numbers in rows and columns. A 1xN matrix has one row and N columns. An N×N matrix has N rows and N columns. Multiplying a 1×N matrix A and an N×N matrix B produces a 1×N matrix C. To determine the Nth element of C, multiply each element of A by each element of the Nth column of B and sum the results. Helpful information can be found at matrix multiplication. Write a program that reads a 1×N matrix A and an N×N matrix B from input and outputs the 1×N matrix product, C. The first integer input is N, followed by one row of N integers for matrix A and then N rows of N integers for matrix B. N can be of any size >= 2. For coding simplicity, follow each output integer by a space, even the last one. The output ends with a newline. **Ex: If the input is:** ``` 2 2 3 1 2 3 4 ``` A contains 2 and 3, the first row of B contains 1 and 2, and the second row of B contains 3 and 4. The first element of C is (2 * 1) + (3 * 3), and the second element of C is (2 * 2) + (3 * 4). The program output is: ``` 11 16 ``` **Note:** Store matrices A and C into one-dimensional arrays and matrix B into a two-dimensional array. **Code:** ```cpp #include <iostream> using namespace std; int main() { int n; // Code continues ```
### Matrix Multiplication (2D Arrays) - Lab Activity #### Example Input: ``` 2 3 1 2 3 4 ``` #### Explanation: - Matrix A contains: 2 and 3 - The first row of Matrix B contains: 1 and 2 - The second row of Matrix B contains: 3 and 4 To compute Matrix C: - The first element of C is calculated as (2 * 1) + (3 * 3) = 11 - The second element of C is (2 * 2) + (3 * 4) = 16 The program outputs: ``` 11 16 ``` #### Note: - Store matrix A and matrix C in one-dimensional arrays. - Store matrix B in a two-dimensional array. --- ### Lab Activity: Matrix Multiplication Code Setup This is the initial code setup for performing matrix multiplication: ```cpp #include <iostream> using namespace std; int main() { int n; cin >> n; int matrixA[n]; // Matrix A int matrixB[n][n]; // Matrix B int matrixC[n]; // Matrix C /* Type your code here. */ return 0; } ``` **Instructions:** - Use the provided code template. - Implement the logic for matrix multiplication based on the input format. **Development Environment:** - Use the "Develop mode" to program and test your code as often as needed. - After ensuring your program works, click "Submit mode" to submit for grading. - To run the program, input your test values and click "Run program" to view the output.
Transcribed Image Text:### Matrix Multiplication (2D Arrays) - Lab Activity #### Example Input: ``` 2 3 1 2 3 4 ``` #### Explanation: - Matrix A contains: 2 and 3 - The first row of Matrix B contains: 1 and 2 - The second row of Matrix B contains: 3 and 4 To compute Matrix C: - The first element of C is calculated as (2 * 1) + (3 * 3) = 11 - The second element of C is (2 * 2) + (3 * 4) = 16 The program outputs: ``` 11 16 ``` #### Note: - Store matrix A and matrix C in one-dimensional arrays. - Store matrix B in a two-dimensional array. --- ### Lab Activity: Matrix Multiplication Code Setup This is the initial code setup for performing matrix multiplication: ```cpp #include <iostream> using namespace std; int main() { int n; cin >> n; int matrixA[n]; // Matrix A int matrixB[n][n]; // Matrix B int matrixC[n]; // Matrix C /* Type your code here. */ return 0; } ``` **Instructions:** - Use the provided code template. - Implement the logic for matrix multiplication based on the input format. **Development Environment:** - Use the "Develop mode" to program and test your code as often as needed. - After ensuring your program works, click "Submit mode" to submit for grading. - To run the program, input your test values and click "Run program" to view the output.
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